Formulas for dual-split quaternionic curves

Coken A. C., EKİCİ C., KOCAYUSUFOĞLU İ., Gorgulu A.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.36, sa.1A, ss.1-14, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 1A
  • Basım Tarihi: 2009
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-14
  • Anahtar Kelimeler: Semi-dual quaternions, semi-dual spaces, Serret-Frenet formulas, SERRET-FRENET FORMULAS
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this study, we first defined the dual-split quaternions as semi-dual space 4/2, then we gave the Serret-Frenet formulas for dual-split quaternionic curves. We also defined semi-dual quaternionic curves in semi-dual spaces 3/1 and 4/2 and finally, we gave the Serret-Frenet formulas for semi-dual quaternionic curves in those spaces.